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Finding the Fourth Proportional to 20,610.08, 30,920 and 6,758.24

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Solution

The fourth proportional to 20,610.08, 30,920 and 6,758.24 is: 10,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610.08 : 30,920 = 6,758.24 : x
  2. Step 2: Convert to fraction form
    20,610.08/30,920 = 6,758.24/x
  3. Step 3: Cross multiply
    20,610.08x = 30,920 × 6,758.24
  4. Step 4: Simplify right side
    20,610.08x = 208,964,780.80
  5. Step 5: Solve for x
    x = 208,964,780.80/20,610.08
  6. Step 6: Final answer
    x = 10,138.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.